Numerical simulation of micro-bubble drag reduction using population balance model

Ocean Engineering

Volumn 36, Issue 11, 2009, Pages 863-872

  Mohanarangam, K ^a   Cheung, S C P ^a   Tu, J Y ^a   Chen, L ^b  

^a RMIT UNIVERSITY   (Australia)

^b DEFENCE SCIENCE AND TECHNOLOGY ORGANISATION   (Australia)

Author keywords

Drag reduction; Mirco bubble; MUSIG; Numerical Simulation; Two fluid model

Indexed keywords

AIR INJECTION; BREAK-UP; BUBBLE BREAK-UP; BUBBLE COALESCENCE; BUBBLE DYNAMICS; BUBBLE SIZE; COMPLEX MECHANISMS; EULERIAN-EULERIAN; EXPERIMENTAL DATA; GAS INJECTION RATE; INDEPENDENT SET; INDUCED DRAG; LADEN FLOW; MICRO-BUBBLE; MICROBUBBLES; MIRCO-BUBBLE; MUSIG; NUMERICAL MODELS; NUMERICAL RESULTS; NUMERICAL SIMULATION; NUMERICAL STUDIES; POPULATION BALANCE MODELS; RANDOM COLLISIONS; REYNOLDS-AVERAGED NAVIER-STOKES; SHEAR-STRESS TRANSPORT; SIMULATED RESULTS; SIZE GROUPS; SKIN-FRICTION COEFFICIENT; STREAMWISE VELOCITY; TRANSPORT EQUATION; TURBULENCE MODIFICATION; TURBULENT BOUNDARY LAYERS; TURBULENT CLOSURES; TWO-FLUID MODEL;

ATMOSPHERIC THERMODYNAMICS; BUOYANCY; COALESCENCE; DRAG REDUCTION; FLUIDS; FRICTION; NAVIER STOKES EQUATIONS; PLASMA FLOW; PLASMAS; POPULATION STATISTICS; REYNOLDS NUMBER; SIMULATORS; SKIN; STAINLESS STEEL; VOID FRACTION;

TURBULENCE MODELS;

BUBBLE; COMPUTATIONAL FLUID DYNAMICS; COMPUTER SIMULATION; DRAG; EXPERIMENTAL STUDY; FLOW MODELING; NAVIER-STOKES EQUATIONS; NUMERICAL MODEL; REYNOLDS NUMBER; SHEAR STRESS; TURBULENT BOUNDARY LAYER;

EID: 67651097653     PISSN: 00298018     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.oceaneng.2009.05.001     Document Type: Article

References (31)

1. ANSYS, 2006. CFX-11 User Manual. ANSYS CFX.
2. Chesters A.K., and Hoffman G. Bubble coalescence in pure liquids. Applied Science Research 38 (1982) 353-361
3. Cheung S.C.P., Yeoh G.H., and Tu J.Y. On the modelling of population balance in isothermal vertical bubbly flows-average bubble number density approach. Chemical Engineering Processing 46 (2007) 742-756
4. Drew D.A., and Lahey Jr. R.T. Application of general constitutive principles to the derivation of multidimensional two-phase flow equation. International Journal of Multiphase Flow 5 (1979) 243-264
5. Ferrante A., and Elghobashi S. On the physical mechanisms of drag reduction in a spatially developing turbulent boundary layer laden with microbubbles. Journal of Fluid Mechanics 503 (2004) 345-355
6. Frank, T., Shi, J., Burns, A.D., 2004. Validation of Eulerian multiphase flow models for nuclear safety application, In: Proceeding of the Third International Symposium on Two-Phase Modelling and Experimentation, Pisa, Italy.
7. Hou Y.X., Somandepalli S.R., and Mungal M.G. Streamwise development of turbulent boundary-layer drag reduction with polymer injection. Journal of Fluid Mechanics 597 (2008) 31-66
8. Ishii M. Thermo-Fluid Dynamic Theory of Two-Phase Flow (1975), Eyrolles, Paris
9. Ishii M., and Zuber N. Drag coefficient and relative velocity in bubbly, droplet or particulate flows. A.I.Ch.E. Journal 5 (1979) 843-855
10. Kitagawa A., Hishida K., and Kodama Y. Flow structure of micro-bubble laden turbulent channel flow measured by PIV combined with the shadow image technique. Experiments in Fluids 38 (2005) 466-475
11. Kodama Y., Kakugawa A., Takahashi T., and Kawashima H. Experimental study on microbubbles and their applicability to ships for skin friction reduction. International Journal of Heat and Fluid Flow 21 (2000) 582-588
12. Kumar S., and Ramkrishna D. On the solution of population balance equations by discretisation-I. A fixed pivot technique. Chemical Engineering Science 51 (1996) 1311-1332
13. Kunz, R.F., Deutsch, S., Lindau, J.W., 2003. Two fluid modelling of microbubble turbulent drag reduction. ASME Paper No. FEDSM2003-45640, Proceedings of FEDSM'03: 4TH ASME-JSME Joint Fluids Engineering Conference, Honolulu, Hawaii, July 6-11, ASME, New York.
14. Kunz R.F., Gibeling H.J., Maxey M.R., Tryggvason G., Fontaine A.A., Petrie H.L., and Ceccio S.L. Validation of two-fluid eulerian CFD modelling for microbubble drag reduction across a wide range of reynolds numbers. Journal of Fluids Engineering 129 (2007) 66-79
15. Luo H., and Svendsen H. Theoretical model for drop and bubble break-up in turbulent dispersions. A.I.Ch.E Journal 42 (1996) 1225-1233
16. Madavan N.K., Deutsch S., and Merkle C.L. Reduction of turbulent skin friction by microbubbles. Physics of Fluids 27 (1984) 356-363
17. Madavan N.K., Merkle C.L., and Deutsch S. Numerical investigations into the mechanisms of microbubble drag reduction. Journal of Fluids Engineering 107 (1985) 370-377
18. Menter F.R. Two-equation eddy viscosity turbulence models for engineering applications. AIAA Journal 32 (1994) 1598-1605
19. Moriguchi Y., and Kato H. Influence of microbubble diameter and distribution on frictional resistance reduction. Journal of Marine Science and Technology 7 (2002) 79-85
20. Murai Y., Oishi Y., Takeda Y., and Yamamoto F. Turbulent shear stress profiles in a bubbly channel flow assessed by particle tracking velocimetry. Experiments in Fluids 41 (2006) 343-352
21. Murai Y., Fukuda H., Oishi Y., Kodama Y., and Yamamoto F. Skin friction reduction by large air bubbles in a horizontal channel flow. International Journal of Multiphase Flow 33 (2007) 147-163
22. Paschkewitz J.S., Dimitropoulos C.D., Hou Y.X., Somandepalli V.S.R., Mugal M.G., Shaqfeh E.S.G., and Moin P. An experimental and numerical investigation of drag reduction in a turbulent boundary layer using a rigid rodlike polymer. Physics of Fluids 17 085101 (2005) 1-17
23. Prince M.J., and Blanch H.W. Bubble coalescence and break-up in air sparged bubble columns. A.I.Ch.E Journal 36 (1990) 1485-1499
24. Robinson S.K. Coherent motions in the turbulent boundary layer. Annual Review of Fluid Mechanics 23 (1991) 601-639
25. Rotta J.C. Turbulente Stromungen (1972), Teubner B.G., Stuttgart
26. Sanders W.C., Dowling D.R., Perlin M., and Ceccio S.L. Bubble friction drag reduction in a high reynolds number flat plate turbulent boundary layer. Journal of Fluid Mechanics 552 (2006) 353-380
27. Sato Y., Sadatomi M., and Sekoguchi K. Momentum and heat transfer in two-phase bubbly flow-I. International Journal of Multiphase Flow 7 (1981) 167-178
28. Skudarnov P.V., and Lin C.X. Drag reduction by gas injection into turbulent boundary layer: Density ratio effect. International Journal of Heat and Fluid Flow 27 (2006) 436-444
29. Tisne P., Aloui F., and Doubliez L. Analysis of wall shear stress in wet foam flow using the electrochemical method. International Journal of Multiphase Flow 29 (2003) 841-854
30. Villafuerte J.O., and Hassan Y.A. Investigation of microbubble boundary layer using particle tracking velocimetry. Journal of Fluids Engineering 129 (2006) 66-79
31. Xu J., Maxey M.L., and Karniadakis G.E. Numerical simulation of turbulent drag reduction using micro-bubbles. Journal of Fluid Mechanics 468 (2002) 271-281